Exponential convergence rates for weighted sums in noncommutative probability space

DOI10.1142/S0219025716500272zbMath1370.46040OpenAlexW2553701754MaRDI QIDQ2956590

Byoung Jin Choi, Un Cig Ji

Publication date: 18 January 2017

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025716500272

zbMATH Keywords

free convolutionlarge deviation principleexponential convergence rateweak law of large numbersweighted sumnoncommutative probability spacefree convolutionability space

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53)

Related Items (5)

Precise asymptotics of weighted sequences and their applications ⋮ Maximal inequalities in noncommutative probability spaces ⋮ Inequalities for positive module operators on von Neumann algebras ⋮ Inequalities for martingales with respect to positive module operators ⋮ Freedman inequality in noncommutative probability spaces

Cites Work

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• Strong limit theorems in non-commutative probability
• Convergence rates for weighted sums in noncommutative probability space
• Free Random Variables
• Exponential Convergence Rates for the Law of Large Numbers
• ON THE ENTANGLED ERGODIC THEOREM
• Laws of large numbers in von Neumann algebras and related results
• The strong law of large numbers for states and traces of aW*-algebra
• NOTE ON ENTANGLED ERGODIC THEOREMS
• Convergence rates in the law of large numbers
• Rates of Convergence for Weighted Sums of Random Variables

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